Math

Fraction Calculator

Compare two rational numbers, perform arithmetic, and get the simplified fraction plus decimal equivalent.

rationalfractionsimplify
Fraction Calculator

Add, subtract, multiply, or divide rational numbers with automatic simplification.

Simplified
1 3/20
Decimal
1.15

Fraction arithmetic

a⁄b ⊕ c⁄d = (ad ⊕ bc) ⁄ bd

The calculator finds a common denominator, performs the chosen operation, and simplifies the result by dividing numerator and denominator by their greatest common divisor.

How to use

  1. Enter the numerators and denominators for Fraction A and Fraction B.
  2. Pick the operation (add, subtract, multiply, divide).
  3. Review the simplified fraction and decimal approximation in the results panel.

Example

Input: Fraction A = 3/4, Fraction B = 2/5, Operation = Add

Output: Simplified = 23/20, Decimal = 1.15

Student-friendly breakdown

This walkthrough emphasizes the most searched ideas for Fraction Calculator: fraction calculator, fraction simplifier, fraction calculator online, improper fraction calculator. Start with the formula above, then follow the guided steps to double-check your work. For quick revision, highlight the givens, plug into the equation, and finish by verifying your units.

Need more support? Use the links below to open the long-form guide, browse additional examples, or hop into adjacent calculators within the same topic. Each resource is interlinked so crawlers (and readers) can discover the next best action within a couple of clicks—one of the easiest ways to lift topical authority.

Deep dive & study plan

The Fraction Calculator is a go-to tool whenever you need to operate on rational numbers with automatic simplification.. It focuses on rational, fraction, simplify, which means searchers often arrive with intent-heavy queries like “how to fraction calculator quickly” or “fraction calculator formula explained.” Use this calculator to capture those intents and keep learners on the page long enough to send positive engagement signals.

Under the hood, the calculator leans on the calculator finds a common denominator, performs the chosen operation, and simplifies the result by dividing numerator and denominator by their greatest common divisor.—that’s why we surface the full expression (“a⁄b ⊕ c⁄d = (ad ⊕ bc) ⁄ bd”) directly above the interactive widget. When you embed that formula inside H2s or supporting paragraphs, you help both humans and crawlers understand what entity the page represents.

Execution matters as much as the math. Follow the built-in procedure: Step 1: Enter the numerators and denominators for Fraction A and Fraction B. Step 2: Pick the operation (add, subtract, multiply, divide). Step 3: Review the simplified fraction and decimal approximation in the results panel.. Each numbered instruction is short enough to scan on mobile but descriptive enough to satisfy Google’s Helpful Content guidelines. Encourage students to jot down units, double-check signs, and compare answers with the Example card to build confidence.

The Example section itself is packed with semantic clues: “Fraction A = 3/4, Fraction B = 2/5, Operation = Add” leading to “Simplified = 23/20, Decimal = 1.15.” Pepper similar narratives throughout your copy (and internal links from related guides) so canonical search intents are answered without pogo-sticking back to Google.

Quick retention checklist

  • Speak the formula aloud (or annotate it) so the relationships stick.
  • Write each step in your own words and compare with the numbered list above.
  • Swap in new numbers for the Example to make sure the calculator (and your logic) handles edge cases.
  • Link out to at least two related calculators to keep readers exploring your topical hub.

FAQ & notes

What happens if I enter a zero denominator?

The calculator blocks invalid fractions by marking the result as undefined until both denominators are non-zero.

Does the tool reduce improper fractions?

Yes. Every result is simplified—improper fractions remain improper but are presented in lowest terms alongside a decimal.

What formula does the Fraction Calculator use?

The calculator finds a common denominator, performs the chosen operation, and simplifies the result by dividing numerator and denominator by their greatest common divisor.

How do I use the Fraction Calculator?

Enter the numerators and denominators for Fraction A and Fraction B. Pick the operation (add, subtract, multiply, divide). Review the simplified fraction and decimal approximation in the results panel.